What are the rules of inequalities?
When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.
Table of Contents
What are the rules of inequalities?
When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.
What do inequality signs mean?
An inequality is a mathematical relationship between two expressions and is represented using one of the following: ≤: “less than or equal to” <: “less than” ≠: “not equal to” >: “greater than”
How do you solve inequalities with two variables?
To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary.
How would you define income inequality?
Income inequality, in economics, significant disparity in the distribution of income between individuals, groups, populations, social classes, or countries. Income inequality is a major dimension of social stratification and social class.
What do inequality symbols mean?
Inequality symbols are a shorthand notation used to compare different quantities. There are four inequality symbols “greater than”, “less than”, “greater than or equal to”, and “less than or equal to”. So, for instance, the sentence “5 is greater than 2” can be written as 5>2.
What causes wage inequality?
Many of the causes of U.S. income inequality can be traced to an underlying shift in the global economy. Emerging market incomes are increasing. Countries such as China, Brazil, and India are becoming more competitive in the global marketplace. Their workforces are becoming more skilled.
How do you solve inequalities on a number line?
To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.
Is poverty a social inequality?
Inequality is concerned with the full distribution of wellbeing; poverty is focused on the lower end of the distribution only – those who fall below a poverty line (McKay, 2002). These socially excluded groups often suffer from spatial inequalities as they tend to be concentrated in disadvantaged locations.
How does the wage gap affect society?
The economic impact of this persistent pay inequality is far-reaching: if women in the United States received equal pay with comparable men, poverty for working women would be reduced by half and the U.S. economy would have added $482 billion (equivalent to 2.8 percent of 2014 GDP) to its economy.
How do you find the solution set of an inequality?
Solution Set of an Inequality
- Example: Solve 2x + 3 ≤ 7, where x is a natural number.
- 2x + 3 ≤ 7. Subtracting 3 from both the sides,
- 2x ≤ 4. Dividing both sides by 2,
- x ≤ 2. Since x is a natural number,
- Example: Represent the solution set of inequality x + 4 ≤ 8, where ‘x’ is a whole number.
- x ≤ 4. Since x is a whole number,
- Example 2:
- Solution:
What are the main causes of social inequality?
Social inequality refers to disparities in the distribution of economic assets and income as well as between the overall quality and luxury of each person’s existence within a society, while economic inequality is caused by the unequal accumulation of wealth; social inequality exists because the lack of wealth in …